40513725 has 72 divisors (see below), whose sum is σ = 85887360. Its totient is φ = 17861760.

The previous prime is 40513723. The next prime is 40513729. The reversal of 40513725 is 52731504.

It is a happy number.

40513725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40513725 - 2¹ = 40513723 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40513723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45232 + ... + 46118.

It is an arithmetic number, because the mean of its divisors is an integer number (1192880).

Almost surely, 2^40513725 is an apocalyptic number.

40513725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40513725 is an abundant number, since it is smaller than the sum of its proper divisors (45373635).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40513725 is a wasteful number, since it uses less digits than its factorization.

40513725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40513725 is about 6365.0392771765. The cubic root of 40513725 is about 343.4530614784.

It can be divided in two parts, 4051 and 3725, that added together give a 5-th power (7776 = 6⁵).

The spelling of 40513725 in words is "forty million, five hundred thirteen thousand, seven hundred twenty-five".